Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Program, superposition of waves

superposition of waves

If statement, Write a program to input two integers. If they are equal disp...

Write a program to input two integers. If they are equal display "The numbers are equal". Otherwise display a message if the first is a multiple of the second or if it is not a mul

C program for reverse the word in string, C Program for REVERSE THE WORD IN...

C Program for REVERSE THE WORD IN STRING #include conio.h> #include stdio.h> #include string.h> void main() {           char a[50],b[25][25],temp;           i

Explain the new and delete operators, The new and delete operators The ...

The new and delete operators The C language has explained library functions- malloc() and free() for dynamic allocation and de-allocation of memory. C++ gives yet another appro

Tree, Write algorithm and program for the conversion of a Tree to a Binary ...

Write algorithm and program for the conversion of a Tree to a Binary Tree

Minimum shelf, At a shop of marbles, packs of marbles are prepared. Packets...

At a shop of marbles, packs of marbles are prepared. Packets are named A, B, C, D, E …….. All packets are kept in a VERTICAL SHELF in random order. Any numbers of packets with thes

C++ Program Please see where i do mistake, #include #include #include ...

#include #include #include #include #include class Employee { private: char *Name; //Set them as pointers... int IdNumber; char *Department; char *Position; public: voi

Area under curve, write a program to find the area under the curve y=f(x) b...

write a program to find the area under the curve y=f(x) between x=a & x=b

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd